Answer:
The correct answers are : 10, 20, 40, 60.
Step-by-step explanation:
Well, let's start by clarifying what the multiples and divisors are.
A multiple of a number is one that results from multiplying that same number by all natural numbers, except 0.
All numbers have an infinite amount of multiples, since the amount of natural numbers that exist is infinite.
We can check if a number is a multiple of another, if by dividing said number, we get as a result a natural number and that division has a remainder 0.
Let's look at the case of the number 240: 240, 480, 720, 960, 1200, 1440, 1680, 1920, 2160, 2400, 2640, 2880, 3120, 3360, etc.
If we made the division between any of these numbers and 240, we would obtain a natural number and a division with remainder 0:
480: 240 = 2
Now let's look at the case of the divisors:
The divisors of a number are all those numbers that can be divided by that number and the rest of that division is 0.
To determine if a number is a divisor of another you must make different divisions and check that this rule is met.
The dividers of 240 are: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240
If we take the 240 and divide it by any of these numbers, it should give us a division with remainder 0:
240: 6 = 40
Finally, they ask us that the divisors of 240 be multiples of 10.
The multiples of 10 are: 10, 20, 30, 40, 50, 60, 70, 80, 90, 100, 110, 120, 130, 140, 150, etc.
Therefore all the multiples of 10 that in turn will be divisors of 240 are:
10,20,30,40,60,80,120 and 240.
